2. Factor and Solve Quadratic Equations Ms. Nong

3. What is in this unit? Graph the quadratic equations (QE) Solve by taking SquareRoot & Squaring Solve by using the Quadratic Formula Solve by Completing the Square Factor & Solve Trinomials (split the middle) Factor & Solve DOTS: difference of two square Factor GCF (greatest common factors) Factor by Grouping

4. Remember: The inverse opeation (opposite) of SquareRoot is Squaring & Square is taking SquareRoot ( ) 2 ( ) 2 √ √

5. To complete examples you see previously… *Put ± before 5 {-3, 7}

6. Inverse operation of Square √SqRoot cancels out Square Subtract 3 to both sides

7. Ex: Solve by taking square roots 5(x + 5) 2 – 75 = 0 First, isolate the squared factor: 5(x + 5) 2 = 75 (x + 5) 2 = 15 Now take the square root of both sides: Isolate the ( x + 5) 2 SqRoot both sides Put ± on the right side Subtract 5 to both sides

8. Assignment Check answers with me